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Flashcards in 8.7-8.8 Deck (10)
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Similar Right Triangle Theorem

If the altitude is drawn to the hypotenuse of a right triangle, then the two triangles formed r similar to each other & the original triangle.

1

geometric mean

If a, b, and x are positive numbers, and a/x = x/b, then x is the geometric mean between a and b. The GMAIL is always the positive root.

2

Geometric Mean Theorem

If the altitude is drawn to the hypotenuse of a right triangle, then the measure of the altitude is the geometric mean between the measures of the parts of the hypotenuse.

3

30-60-90

Opp 30 - x
Hypotenuse - 2x
Opp 60 - x[3

4

45-45-90

Opp 45's - x
Hypotenuse - x[2

5

Trigonometry

SOH-CAH-TOA

6

Sin, cos, and tan of 30

1/2, [3/2, [3/3 or 1/[3

7

Sin, cos, and tan of 60

[3/2, 1/2, [3

8

Sin, cos, and tan of 45

[2/2 or 1/[2, [2/2 or 1/[2, 1

9

Pythagorean Theorem

a2 + b2 = c2